Find all School-related info fast with the new School-Specific MBA Forum

It is currently 31 Oct 2014, 03:28

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If K is a positive integer, is K the square of an integer?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 10 Oct 2005
Posts: 114
Location: Hollywood
Followers: 0

Kudos [?]: 5 [0], given: 0

If K is a positive integer, is K the square of an integer? [#permalink] New post 28 Jan 2007, 07:41
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
If K is a positive integer, is K the square of an integer?

(1) K is divisible by 4
(2) K is divisible by exactly 4 different prime numbers

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient.
(E)Statements (1) and (2) TOGETHER are NOT sufficient.
_________________

The GMAT, too tough to be denied.
Beat the tough questions...

SVP
SVP
User avatar
Joined: 01 May 2006
Posts: 1814
Followers: 8

Kudos [?]: 91 [0], given: 0

 [#permalink] New post 28 Jan 2007, 07:50
(B) for me :)

Stat1

o If K=4, K = 2^2
o If K=8, K= 2^2 * 2

INSUFF.

Stat2
The answer to the original question is no. If K is the product of exactly 4 prime numbers, we can not have an integer i such that K = i^2.

This is due to the definition of a prime : a prime is not divisable by any integer except 1 and itself.

We have ,for example, K = 2*3*5*7. We could never have K = 2^2 * 3^2.

SUFF.
Senior Manager
Senior Manager
avatar
Joined: 23 Jun 2006
Posts: 388
Followers: 1

Kudos [?]: 305 [0], given: 0

 [#permalink] New post 28 Jan 2007, 08:25
actually, i'd say E is the answer....

certainly st.2 doesn't speak about all factors, but only about prime factors. so the fact that there is 4 different prime factors doesn't rule out the possibility that it is a square. for example 2^2*3^2*5^2*7^2 is a square with exactly 4 different prime factors.
SVP
SVP
User avatar
Joined: 01 May 2006
Posts: 1814
Followers: 8

Kudos [?]: 91 [0], given: 0

 [#permalink] New post 28 Jan 2007, 08:39
(E) it is... yes :)

I misread the question :)... Reading K is the product of 4 primes :)
  [#permalink] 28 Jan 2007, 08:39
    Similar topics Author Replies Last post
Similar
Topics:
If K is a positive integer, is K the square of an integer? singh_amit19 1 24 Sep 2007, 12:12
If k is a positive integer, is k the square of an integer? astro1050 1 04 Aug 2007, 17:14
If K is a positive integer, is K the square of an integer? TOUGH GUY 2 08 Oct 2006, 09:06
If k is a positive integer, is k the square of an integer? Matador 3 17 Apr 2006, 16:01
If k is a positive integer, is k the square of an integer? tingle 4 09 Oct 2005, 15:14
Display posts from previous: Sort by

If K is a positive integer, is K the square of an integer?

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.